Stabilization of 2d based iterative learning control system over network with random communication delays and packet dropouts

A two-dimensional discrete-time iterative learning control system where a sensor and a controller exchange information over network communication channel, is considered. The problem of system stabilization along the trial is being solved in the presence of possible time-varying delays and packet dropouts. A control law is designed for both system state and output vector. Time-varying delays and packet dropouts are modeled as independent Markovian chains. The resulting closed-loop system is transformed into a 2D discrete-time Roesser model with Markovian jumps characterization. Then, sufficient conditions for system stabilization of single-packet transmission are given in terms of linear matrix inequalities. A numerical example illustrates the effectiveness of the results.